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PHYS16 – Lecture 7. Ch. 5 Force and Newton’s Laws. http://fashionablygeek.com/wp-content/uploads/2009/09/mass-times-acceleration.gif. Motion - Review. Constant, non-zero acceleration in y leads to displacement in y that is A) linear B) parabolic C) constant D) exponential
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PHYS16 – Lecture 7 Ch. 5 Force and Newton’s Laws http://fashionablygeek.com/wp-content/uploads/2009/09/mass-times-acceleration.gif
Motion - Review • Constant, non-zero acceleration in y leads to displacement in y that is A) linear B) parabolic C) constant D) exponential E) None of the above
Motion - Review • A ball accelerates from rest at 10 m/s2 at an angle of 30 degrees with respect to the ground for 2 s. What is the ball’s final velocity? A) 19 m/s at -30 degrees B) 20 m/s at -30 degrees C) 20 m/s at 30 degrees D) 20 m/s at 0 degrees E) None of the above
Motion - Review • A projectile is fired at a 30 degree angle. Which of the following statements is true. • When the projectile reaches its maximum height the velocity is zero. • When the projectile reaches its maximum height the acceleration is zero. • The acceleration of the projectile just after it is fired is the same as just before it lands. • The velocity of the projectile just after it is fired is the same as just before it lands • None of the above.
Motion – Review • A police car, traveling at 95 km/h, is trying to catch a motorist at 80 km/h. Is the police car’s speed relative to the motorist the same as the motorist’s speed relative to the police car? • Yes • No • Not enough information
Ch. 5 Force • Force – Definition & Types • Newton’s Laws • Law of inertia • F=ma • Faction= -Freaction • Friction • Applications of Newton’s Laws
Force pre-question • A locomotive breaks through a wall at a train station. Which of the following is true? A) (force exerted by locomotive on wall) > (force exerted by wall on locomotive) B) (force exerted by locomotive on wall) is equal and opposite (force exerted by wall on locomotive) C) (force exerted by locomotive on wall) < (force exerted by wall on locomotive) D) the wall does not exert a force; it broke
Force - Definition • A push or a pull that can change an object’s motion Contact Forces – need to contact object Tension – reaction force along rope away from object Compression – a push Normal – reaction force that is perpendicular to surface Friction – breaking of bonds along surface that resist motion Biological – forces applied by people Fundamental Forces – Long range Gravity – attraction btw masses Electromagnetic – attraction/repulsion btw charges Strong – holds protons & neutrons in nucleus Weak – responsible for neutrino/beta decay
Forces act at: • Contact forces act at the point of contact • If we can assume the object is a point object then we can draw these forces acting at the center of mass • Long range forces act at the center of mass
Center of Mass • Center of mass is geometric center of object weighted by the object’s mass distribution • Assume density is the same throughout following objects and find center of mass:
Most Common Forces • Gravity • Normal • Tension • Friction
Newton’s Laws – First Law • A body at rest remains at rest & a body in motion stays in motion unless acted on by a force • Doesn’t seem true because most objects don’t infinitely stay in motion, why? (friction) • Can see this is true if decrease air friction • Example – Brick pushed along ground vs. Brick in cart pushed along ground
Newton’s Laws – Second Law • If there is a NET force then the object is accelerated in the direction of the force. • The magnitude of the acceleration is proportional to the force and inversely proportional to the object’s mass.
What happens if there is no net force? • Scenario #1 – there are forces acting on the object, but they cancel • Scenario #2 – there are no forces acting on the object • If there is no NET force then no acceleration
Mechanical Equilibrium • Mechanical Equilibrium – when FNET=0 • Static Equilibrium • v= 0 • FNET=0 • Example – book on a table • Dynamic Equilibrium • v= constant • FNET=0 • Example – car moving at constant speed
Newton’s Laws – Third Law • Every action has an equal and opposite reaction • Does this seem true? If I push a block does it push back on me? • Yes, I just have friction from floor keeping me in place • Can feel pressure of block on fingers • So all reactionary forces – Normal, Friction, Tension will vary with the amount of applied force
Conclusions • Force • Push or pull • Vector quantity • Newton’s laws • Law of inertia • F=ma • Faction = -Freaction